An asymmetrical full bridge converter is proposed in the paper. The proposed converter
achieves zero voltage switching of all the power switches. Zero current switching of all the output diodes
are also achieved here. This in turn provides a highly efficienct operation. The proposed converter can
provide a high voltage gain and the voltages across the semi- conductor devices are effectively clamped.
The converter can be utilised effectively in high voltage applications as embedded systems, renewable
energy systems, fuel cells, mobility applications and uninterrupted power supply
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An Asymmetrical Dc-Dc Converter with a High Voltage Gain
1. International
OPEN ACCESS Journal
Of Modern Engineering Research (IJMER)
| IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss.7| July. 2014 | 64|
An Asymmetrical Dc-Dc Converter with a High Voltage Gain Sarah Ben Abraham1, Ms. Riya Scaria2, 1, 2 Assistant Professor
I. Introduction
The recent growth of battery powered applications and low voltage storage elements are increasing the demand of efficient step-up dc–dc converters. Typical applications are embedded systems, renewable energy systems, fuel cells, mobility applications and uninterrupted power supply. These applications demand high step- up static gain, high efficiency and reduced weight, volume and cost. Some classical converters with magnetic coupling as flyback or current-fed push-pull converter can easily achieve high step-up voltage gain. However, the power transformer volume is a problem for the development of a compact converter. The energy of the transformer leakage inductance can produce high voltage stress, increases the switching losses and the electromagnetic interference (EMI) problems, reducing the converter be used to reduce the switching losses and the EMI generation. However the voltage stress is higher than in the hard-switching structures and the cost and circuit complexity are increased. Thus, the weight, volume and losses of the power transformer are limiting factors for the isolated dc–dc converters used in embedded applications. Non-isolated dc–dc converters as the classical boost, can provide high step-up voltage gain, but with the penalty of high voltage and current stress, high duty-cycle operation and limited dynamic response. The diode reverse recovery current can reduce the efficiency when operating with high current and voltage levels. There are some non-isolated dc–dc converters operating with high static gain, as the quadratic boost converter, but additional inductors and filter capacitors must be used and the switch voltage is high. In order to overcome these problems, an asymmetrical full bridge converter with high-voltage gain is proposed. The limitation of the maximum duty cycle disappears in the proposed topology. The proposed converter features high-voltage gain, fixed switching frequency, soft-switching operations of all power switches and output diodes, and clamped voltages across power switches and output diodes. The reverse recovery problem of the output diodes is significantly alleviated due to an additional inductor at the secondary side. Therefore, the proposed converter shows high efficiency and it is suitable for high-voltage applications.
II. Literature Review
The conventional boost converters are widely employed in power factor correction (PFC) applications due to the simple circuit structure. The conventional single-phase single-switch boost converter is shown in Figure 2.1. In theory, the voltage gain of the boost converter can be infinite when the duty cycle is close to one. However, the switch turn-off period becomes short when the duty cycle increases. The current ripples of the power devices are large, with high-step-up conversion [5], which increases the power device conduction losses and turn-off current. Moreover, the voltage stresses of the switch and the diode are equal to the output voltage, which is large in high output- voltage applications. The cost of the switches with high voltage stress is rather higher than that of the switches with low voltage stress. The switching and reverse-recovery losses are significant due to the hard-switching operation. Furthermore, the power level is limited by the single-phase single-switch solution.
Abstract: An asymmetrical full bridge converter is proposed in the paper. The proposed converter achieves zero voltage switching of all the power switches. Zero current switching of all the output diodes are also achieved here. This in turn provides a highly efficienct operation. The proposed converter can provide a high voltage gain and the voltages across the semi- conductor devices are effectively clamped. The converter can be utilised effectively in high voltage applications as embedded systems, renewable energy systems, fuel cells, mobility applications and uninterrupted power supply.
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Figure 2.1: Conventional boost converter
The interleaved structure is another effective solution to increase the power level, which can minimize
the current ripple, can reduce the passive component size, can improve the transient response, and can realize
the thermal distribution. Figure 2.2 shows a two-phase conventional interleaved boost converter. However, the
power devices still operate at hard switching [10]. The efficiency is limited because the output diode reverse-recovery
problem is still serious in high-output voltage applications.
An active zero current transition (ZCT) interleaved boost converter is derived from the conventional
interleaved boost converter by adding a set of auxiliary commutation circuit to each phase [13], which is formed
by an active switch, a capacitor, and an inductor. The interleaved boost converter with auxiliary commutation
circuits is introduced in Figure 2.3. Turning on of the main switches occurs naturally at zero current, and the
output-diode reverse-recovery problem is alleviated due to the critical discontinued current mode (DCM)
operation. The auxiliary commutation circuits provide ZCT when the main switch turns off. However, a
variable frequency control is mandatory for this converter, which is difficult for the electromagnetic interference
(EMI) filter design.
Figure 2.2: Active ZCT interleaved boost converter
The filter inductors of the conventional interleaved boost converter can be integrated into one coupled
inductor to reduce the magnetic components. The output-diode reverse recovery problem can be alleviated, and
zero current switching (ZCS) turn-on of the switches can be achieved due to the leakage inductance of the
coupled inductor.
Figure 2.3: Interleaved boost converters with coupled inductor
An active zero-voltage ZCS (ZVZCS) interleaved boost converter with a coupled inductor I shown in
Figure 2.5. An auxiliary circuit, which is composed of only a clamp switch and a small capacitor, is inserted into
each phase of the interleaved boost converter with coupled inductor. ZCS turn-on and ZVS turn-off are achieved
for the main switches. The ZVS soft-switching performance is realized for the auxiliary switches during the
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whole switching transition. The leakage inductance of the coupled inductor is used to control the output diode
turn-off current falling rate, which alleviates the diode reverse-recovery problem. The converter is symmetrical
and suitable for high-power and high-efficiency dc/dc applications.
Figure 2.4: Active ZVZCS interleaved boost converter with a coupled inductor
A lot of other active or passive lossless soft-switching solutions are proposed to reduce the switching
and reverse-recovery losses that exist in the conventional boost converters. However, most of the improvements
are presented for PFC applications. They are not suitable for high-step-up and high efficiency PV grid-connected
applications.
The current-fed converters are often used in high step-up applications due to their inherent low input
current ripple characteristic and high-voltage gain [11], [12]. However, in the current fed converters, the voltage
stresses of the switches are serious. In order to clamp the voltages across the switches and provide zero-voltage
switching (ZVS) features, active snubbers are often employed. The snubbers require additional switches and
cause additional conduction losses. As a result, the system efficiency decreases. On the other hand, the voltage-fed
converters such as phase-shift full-bridge (PSFB) converters, which are widely used, show low-voltage
stress of the switching devices. PSFB converters feature fixed switching frequency and ZVS of power switches.
However, they have some drawbacks including large conduction loss due to circulating current, duty cycle loss,
and the voltage spikes across output rectifiers. The large voltage spikes of the output rectifiers are serious
problems especially in high-voltage applications. To remedy these problems, many topologies have been
proposed in [13]–[18]. In some of them, auxiliary snubber circuits are employed to suppress the voltage spikes
at the secondary side. However, the complexity and the overall cost are increased while the system efficiency
decreases due to the additional circuits.
The voltage gain can be extended, and the current ripple can be further reduced to satisfy the high-step-up
requirements by employing the cascade structure. Figure 2.6 shows a cascade boost converter. The voltage
stress of the first stage is low, and it can be operated with a high switching frequency to improve the power
density. The second stage can be worked with a low switching frequency to reduce the switching losses.
However, the cascade converter requires two sets of power devices, magnetic cores, and control circuits, which
is complex and expensive. The system stability of the cascade structure is another big issue, and the control
circuit should be designed carefully. The output-diode reverse-recovery problem of the second stage is severe
because a high voltage level should be sustained in the high-output-voltage applications.
Figure 2.5: Cascade boost converter
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The two switches in the cascade boost converter can be integrated into one switch to reduce circuit
complexity. The integrated cascade boost converter is shown in Figure 2.7. The inductors L1 and L2 operate in
the charging mode when switch S turns on. The energy stored in L1 is transferred to capacitor C1 through diode
D1, and the energy stored in L2 is delivered to the load through diode Do when switch S turns off. The circuit is
simplified, and the instability caused by the cascade structure is avoided, compared with the cascade boost
converter.
An integrated cascade boost converter with ZVS soft switching performance is shown in Figure 2.8.
The auxiliary circuit is composed of a small inductor Ls, a resonant capacitor Cc, and a power MOSFET Sc,
which is used to realize the soft switching for the main and clamp switches. However, the switch voltage stress
of the integrated cascade boost converters is equal to the high output voltage, and the current stress is large
because the current of the inductors L1and L2 flows through the switch when it turns on. These two factors
increase the conduction losses and reduce the circuit efficiency.
Figure 2.6: Integrated cascade boost converter
Figure 2.7: Integrated cascade boost converter with ZVS performance
III. Asymmetrical Dc-Dc Converter With High Voltage Gain - Circuit Description
Figure 3.1: Circuit Diagram
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The proposed converter has four power switches S1 through S4. There is also the clamping capacitor
Cc between top side switches S1 and S3 of two switch bridges. The voltages across the switches S1 and S2 in
the first bridge are confined to the input voltage Vin. The clamping capacitor Cc can clamp the voltages across
the switches S3 and S4 in the second bridge. The output stage of the proposed converter has a voltage doubler
structure that consists of the secondary winding N2 of the transformer T, the serial inductor Ls, the output
capacitors Co1 and Co2 and the output diodes Do1 and Do2. According to the voltage doubler structure, the
voltage gain increases and the voltage stresses of the output diodes are confined to the output voltage Vo
without any auxiliary circuits.
The equivalent circuit of the proposed converter is shown in Fig. 2. The diodes D1 through D4 are the
intrinsic body diodes of all switches. The capacitors C1 through C4 represent their parasitic output capacitances.
The transformer T is modeled as the magnetizing inductance Lm and the ideal transformer that has a turn ratio
of 1:n (n = N2 /N1). Its leakage inductance is included in the serial inductor Ls. To simplify the analysis, it is
assumed that the clamping capacitor Cc has a large value and the voltage across Cc is constant as Vc under a
steady state. Similarly, the output capacitor voltages are assumed to be constant as Vo1 and Vo2, respectively.
Figure 3.2: Equivalent Circuit
The theoretical waveforms of the proposed converter are shown in Fig. 3. The switch S1 (S4) and the
switch S2 (S3) are operated asymmetrically and the duty cycle D is based on the switch S1 (S4 ). A small delay
between driving signals for S1 (S4) and S2 (S3) is a deadtime for the switches. It prevents cross conduction and
allows ZVS.
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IV. Modal Analysis
The operation of the proposed converter during a switching period Ts is divided into four modes as
shown in Fig. 4. Before t0, the switches S2 and S3, and the output diode Do1 are conducting. At t0 , the
magnetizing current im and the secondary current is arrive at their minimum values Im2 and −ID o1, respectively.
Mode 1 [t0, t1]: At t0, the switches S2 and S3 are turned off. Then, the energy stored in the magnetic
components starts to charge/discharge the parasitic capacitances C1 through C4. Therefore, the voltages vS2 and
vS3 start to rise from zero. Similarly, the voltage vS4 starts to fall from Vin + Vc voltage vS1 starts to fall from
Vin. Since all the parasitic output capacitances C1 through C4 are very small, this transition time interval is very
short and it is ignored in Fig. 3. When the voltages vS1 and vS4 arrive at zero, their body diodes D1 and D4 are
turned on. Then, the gate signals are applied to the switches S1 and S4. Since the currents have already flown
through D1 and D4 and the voltages vS1 and vS4 are clamped as zero before the switches S1 and S4 are turned on,
zero-voltage turn-ON of S1 and S4 is achieved. With the turn-ON of S1 and S4, the primary voltage vp across Lm
is Vin. Then, the magnetizing current im increases linearly from its minimum value Im2 as follows:
im (t) = Im2 +
Vin
Lm
(t-t0)
Figure 4.1: Mode 1
Since the voltage VLs across Ls is nVin+Vo1, the secondary current is increases from its minimum value
−IDo1 as follows:
is (t) = -ID01 +
nVin +Vo1
Ls
(t-t0)
Mode 2 [t1, t2]: At t1, the currents is and iDo1 arrive at zero and the diode Do1 is turned off. Then, the output diode
Do2 is turned on and its current increases linearly. Since the current changing rate of Do1 is controlled by the
serial inductor Ls, its reverse-recovery problem is significantly alleviated. Since the voltage vLs is (nVin−Vo2) in
this mode, the current is are given by:
is(t) =
nVin −V02
Ls
(t-t1)
Figure 4.2: Mode 2
At the end of this mode, im and is arrive at their maximum values Im1 and ID02, respectively.
Mode 3 [t2, t3]: Similar to mode 1, the switches S1 and S4 are turned off at t2. The parasitic capacitors C1 and C4
start to be charged from zero, whereas the parasitic capacitors C2 and C3 start to be discharged from Vin and Vin
+ Vc, respectively. With the same assumption as mode 1, this transition time interval is very short and it is
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ignored in Fig. 3. After the parasitic capacitors are fully charged and discharged, the voltages vS 2 and vS 3
become zero and the body diodes D2 and D3 are turned on. Then, the gate signals are applied to the switches S2
and S3. Since the currents have already flown through D2 and D3 and the voltages vS 2 and vS 3 are clamped as
zero, zero-voltage turn-on of S2 and S3 is achieved. With the turn-on of S2 and S3, the voltage vp across Lm is −
(Vin+Vc). Then, the current im decreases linearly from its maximum value Im1 as follows:
im (t) = Im1 –
Vin+Vc
Lm
(t-t2)
Figure 4.3: Mode 3
Since the voltage vLs across Ls is − (n (Vin + Vc) +Vo 2), the current is decreases from its maximum value IDo2 as
follows:
is (t) = ID02 –
n Vin+Vc + V02
Ls
(t-t2)
Mode 4 [t3, t4]: Similar to mode 2, the currents is and iDo2 arrive at zero and the diode Do2 is turned OFF at t3.
Then, the output diode Do1 is turned on and its current increases linearly. Since the current changing rate of Do2
is controlled by Ls, its reverse-recovery problem is significantly alleviated. Since the voltage vLs is − (n (Vin +
Vc) −Vo1), the current is is given by:
is(t) = –
n Vin+Vc − V01
Ls
(t-t3)
At the end of this mode, the currents im and is arrive at Im2 and −IDo1, respectively.
Figure 4.4: Mode 4
IV. Design Parameters
To validate the characteristic of the proposed converter, design procedure is given in this section with
the following specifications:
1) Input voltage Vin = 48V.
2) Output voltage Vo = 400V.
3) Maximum output power Po,max = 150W.
4) Switching frequency fs = 74 kHz.
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4.1 Selection Dmax and n The voltage stresses of S3 and S4 depend on D. If they need to be kept below 150V, D should be smaller than 0.75. Therefore, the maximum duty cycle Dmax is determined as 0.7. Since the required voltage gain is 8.3, the turn ratio n can be calculated as 3 from from the following equation: M = V0Vin = n 1−2k D D+ 1−2D k (1−D− 1−2D k) 4.2 Selection of Ls Serial inductor Ls can be determined as follows: Ls = nDmaxVinTs8Iomax [1-(1-2k)]^2 By using previously selected k∗ and Dmax, (32) gives Ls = 87.5 μH. Then, Ls is selected as 90 μH. 4.3 Selection of Lm ID01 is calculated as 2.287 A from the following equation: Io = 1−D+d1−d2 IDo12 = D−d1+d2 IDo22 Where, d1 = kD d2 = k (1-D) By assuming the output capacitances C1 to C4 of the switches as 500pF, we choose Lm<136μH from an inequality which arises since there is current cancellation between ip and im at to. Therefore, for ZVS of S1 and S4, the energy difference between the energies stored in Lm and Ls should be larger than the energy stored in C1 through C4 as follows: − LmIm2^22 + LsIDo1^22 > C1+C2 Vin^22 = C3+C4 (Vin+Vc)^22 4.4 Selection of Cc The switch current iS3 flows through Cc. From the current waveform iS3 in Fig. 3, the resulting ripple in the voltage across Cc depends on the area under the current waveform. The voltage ripple ΔVc across Cc is approximately given by: ΔVc= 1−D Ts4Cc (Im1 + nIDo2) Where, Im1 = Iin + VinDTs2Lm Iin = VoIoVin IDo2 = nVin−Vo2Ls (D-d1) Ts Vo2 = D−d1−(D/ 1−D d2D−d1+d2 nVin And from the equation for ΔVc, Cc should be larger than 3.49 μF to keep the ripple below 1 V. The value of Cc is selected as 6.6 μF. 4.5 Selection of Co1 and Co2 The secondary current is flows through C01 and C02 equally. The voltage ripple across C01 is given by: ΔVo1 = D−d1+d2 TsIDo24Co1 And from the above equation, C01 should be larger than 18.75 μF to keep ΔV01 below 0.1 V. The value of C01 is selected as 47 μF. Similarly, C02 is also selected as 47μF.
V. Simulation Results
The circuit has been simulated using the software, MATLAB/SIMULINK. MATLAB (matrix laboratory) is a numerical computing environment and fourth generation programming language. Developed by Math Works, MATLAB allows matrix manipulations, plotting of functions and data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in other languages, including C, C++, Java and Fortran. Simulink, developed be Math Works, is a data flow graphical programming language tool for modelling, simulating and analyzing multi- domain dynamic systems. Its primary interface is a graphical block diagramming tool and a customizable set of block libraries. It offers tight integration with the rest of the MATLAB environment and can either drive MATLAB or be scripted from it.
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Figure 6.1: MATLAB/SIMULINK model of the circuit
Figure 6.2: Measured Key Waveforms The figure shows the key waveforms of the proposed converter. It shows the currents is and it, the clamping capacitor voltage Vc and the switch voltage vs2. According to the equation for Cc, clamping capacitor voltage Vc should be 64 v. It agrees with the experimental result. The measured maximum voltage stress of S4 is around 110v, which agrees with the theoretical analysis. The ZVS operations of all power switch S4 is shown in the figure 6.3. The voltage across the switches goes to zero before the gate pulses are applied to the switches. Since the switch voltages are clamped to zero before the gate pulses are applied, the ZVS turn on of the switches is achieved. Figure 6.4 shows the ZCS of output diodes. After the diode currents fall to zero, the voltages across the diode rise to output voltageV0. Therefore, the ZCS turn off of the output diodes is achieved.
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Figure 6.3 ZVS of Switch S4
Figure 6.4: ZCS of Diode D1
VI. Conclusion
The limitations of the conventional dc-dc converters in high-step-up, low-cost, and high-efficiency are analyzed. From the aforementioned analysis, the major challenges in applications requiring high voltage gain can be drawn as follows: 1) Extension of voltage gain. 2) Reduction of switch 3) Realization of soft-switching performance to reduce the switching losses. 4) Alleviation of the output-diode reverse-recovery problem to reduce the reverse-recovery losses. In this paper, an asymmetrical full-bridge converter with high voltage gain has been presented. The ZVS of all power switches and ZCS of the output diodes are achieved. The proposed converter is able to provide a high efficiency and high-voltage gain with relatively low transformer turn ratio. Also, without any auxiliary circuits, the voltages across the switches and the output diodes are effectively clamped. Therefore, the proposed converter is suitable for high-voltage applications. A prototype was simulated to verify the performance of the proposed converter. The voltage gain is 8.3with the transformer turn ratio of 3. REFERENCES [1] R. J. Wai, W. H. Wang, and C. Y. Lin, “High-performance stand-alone photovoltaic generation system,” IEEE Trans. Ind. Electron., vol. 55, no. 1, pp. 240–250, Jan. 2008. [2] C. Wang and M. H. Nehrir, “Power management of a standalone Wind/photovoltaic/fuel cell energy system,” IEEE Trans. Energy Convers., vol. 23, no. 3, pp. 957–967, Sep. 2008.
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[3] R. J. Wai and W. H. Wang, “Grid-connected photovoltaic generation system,” IEEETrans. CircuitsSyst. I, Reg. Papers, vol. 55, no. 3, pp. 953–964, Apr. 2008. [4] M. Prudente, L. L. Pfitscher, G. Emmendoerfer, E. F. Romaneli, and R. Fules, “Voltage multiplier cells applied to non-isolated DC-DC converters,” IEEE Trans. Power Electron., vol. 23, no. 2, pp. 871–887, Mar. 2008. [5] E. H. Ismail, M. A. Al-Saffar, A. J. Sabzali, and A. A. Fardoun, “A family of single-switch PWM converters with high step-up conversion ratio,” IEEE Trans. Circuit Syst. I, vol. 55, no. 4, pp. 1159–1171, May 2008. [6] Z. Liang, R. Guo, J. Li, and A. Q. Huang, “A high-efficiency PV moduleintegrated DC/DC converter for PV energy harvest in FREEDM systems,” IEEE Trans. Power Electron., vol. 26, no. 3, pp. 897–909, Mar. 2011. [7] W.-S. Liu, J.-F. Chen, T.-J. Liang, and R.-L. Lin, “Multicascoded sources for a high-efficiency fuel-cell hybrid power system in high-voltage application,” IEEE Trans. Power Electron., vol. 26, no. 3, pp. 931–942, Mar. 2011. [8] L.-S. Yang, T.-J. Liang, and J.-F. Chen, “Transformerless DC-DC converters with high step-up voltage gain,” IEEE Trans. Ind. Electron., vol. 56, no. 8, pp. 3144–3152, Aug. 2009. [9] Q. Zhao, F. Tao, Y. Hu, and F. C. Lee, “Active-clamp DC/DC converter using magnetic switches,” in Proc. IEEE Appl. Power Electron. Conf. Expo., 2001, pp. 946 952. [10] D. A. Grant, Y. Darroman, and J. Suter, “Synthesis of tapped-inductor switched-mode converters,” IEEE Trans. Power Electron., vol. 22, no. 5, pp. 1964–1969, Sep. 2007. [11] L. Zhu, K. Wang, F. C. Lee, and J. S. Lai, “New start-up schemes for isolated full-bridge boost converters,” IEEE Trans. Power Electron., vol. 18, no. 4, pp. 946–951, Jul. 2003. [12] E. Adib and H. Farzanehfard, “Zero-voltage transition current-fed fullbridge PWM converter,” IEEE Trans. Power Electron., vol. 24, no. 4, pp. 1041–1047, Apr. 2009. [13] Y. Jang and M. M. Jovanovic, “A new family of full-bridge ZVS converters,”IEEE Trans. Power Electron., vol. 19, no. 3, pp. 701–708, May 2004. [14] M. Borage, S. Tiwari, S. Bhardwaj, and S. Kotaiah, “A full-bridge DC-DC converter with zero-voltage-switching over the entire conversion range,” IEEE Trans. Power Electron., vol. 23, no. 4, pp. 1743–1750, Jul. 2008. [15] Y. Jang and M. M. Jovanovic, “A new PWM ZVS full-bridge ZVS converter,” IEEE Trans. Power Electron., vol. 22, no. 3, pp. 987–994, May 2007.